![]() ![]() ![]() Test Statistic - Formulas Test statistic for proportion Test statistic for mean Test statistic for standard deviation Test Statistic The test statistic is a value used in making a decision about the null hypothesis, and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true. Null Hypothesis: The null hypothesis (denoted by ) is a statement that nullifies the research hypothesis We test the null hypothesis directly. The symbolic form of the alternative hypothesis must use one of these symbols. Rare Event Rule for Inferential Statistics If, under a given assumption, the probability of a particular observed event is exceptionally small, we conclude that the assumption is probably not correct.Īlternative Hypothesis: The alternative hypothesis (denoted by ) is the claim or research hypothesis we wish to establish. ![]() The conclusion about a claim in simple and nontechnical terms.P-value, given a value of the test statistic.Critical value(s), given a significance level.The value of the test statistic, given a claim and sample data.The null hypothesis and alternative hypothesis from a given claim When conducting hypothesis tests as before jumping directly to procedures and calculations, be sure to consider the context of the data, the source of the data, and the sampling method used to obtain the sample data. The main objective of this chapter is to develop the ability to conduct hypothesis tests for claims made about population parameter ( population proportion, a population mean, or a population standard deviation ) Main Objective A hypothesis test (or test of significance) is a standard procedure for testing a claim about a property of a population. In statistics, a hypothesis is a claim or statement about a property of a population. Chapter 8Hypothesis Testing 8-1 Review and Preview 8-2 Basics of Hypothesis Testing 8-3 Testing a Claim about a Proportion 8-4 Testing a Claim About a Mean: Known 8-5 Testing a Claim About a Mean: NotKnown 8-6 Testing a Claim About a Standard Deviation or Variance ![]()
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